3 ideas
| 17622 | We come to believe mathematical propositions via their grounding in the structure [Burge] |
| Full Idea: A deeper justification for believing in [mathematical] propositions [apart from pragmatism] lies in finding their place in a logicist proof structure, by understanding the grounds within this structure that support them. | |
| From: Tyler Burge (Frege on Knowing the Foundations [1998], 3) | |
| A reaction: This generalises to doubting something until you see what grounds it. |
| 18545 | The disinterested attitude of the judge is the hallmark of a judgement of beauty [Shaftesbury, by Scruton] |
| Full Idea: Shaftesbury explained the peculiar features of the judgement of beauty in terms of the disinterested attitude of the judge. | |
| From: report of 3rd Earl of Shaftesbury (Characteristics [1711]) by Roger Scruton - Beauty: a very short introduction 1 | |
| A reaction: Good. I take our vocabulary to mark a distinction between expressions of subjective preference, and expressions of what aspire to be objective facts. 'I love this' versus 'this is good or beautiful'. |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice. | |
| From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where? |